We divide 871875 by 90
We want to divide 871875 by 90.

Let's proceed to step 1:
When dividing 8 by 90, we get 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 90

Moving on to step 2:
90 goes into 87 0 times with a remainder of 87.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 87 to get 87.
Append the next digit (1) from the dividend to 87 and continue with: 871 / 90

On to step 3:
When dividing 871 by 90, we get 9 with a remainder of 61.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
The remainder is 61 after subtracting 810 from 871.
Take the next digit (8) from the dividend and append it to 61, then repeat: 618 / 90

Let's proceed to step 4:
The number 90 fits into 618 6 times, leaving a remainder of 78.
The next digit of our result is 6. 
Result so far: 96.0
If we take 540 away from 618, we end up with 78.
Fetch the next digit (7) from the dividend, attach it to 78 and continue: 787 / 90

Going ahead to step 5:
When dividing 787 by 90, we get 8 with a remainder of 67.
Write down 8 as next digit of the result. 
Result so far: 968.0
The remainder is 67 after subtracting 720 from 787.
Bring next digit (5) of the dividend behind the 67 and repeat the process: 675 / 90

Moving on to step 6:
When dividing 675 by 90, we get 7 with a remainder of 45.
The number 7 becomes the next digit in our result. 
Result so far: 9687.0
The remainder is 45 after subtracting 630 from 675.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 7:
90 can be fit into 450 5 times, resulting in a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 9687.5
Deduct 450 from 450 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 8:
90 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 9687.5
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 9:
The number 90 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 9687.5
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 9687.5, and the remainder is 0.0.